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5999400 = 23335211101
BaseRepresentation
bin10110111000101100101000
3102021210122000
4112320230220
53013440100
6332331000
7101664651
oct26705450
912253560
105999400
113428490
122013a60
131320954
14b22528
157d7900
hex5b8b28

5999400 has 192 divisors, whose sum is σ = 22766400. Its totient is φ = 1440000.

The previous prime is 5999393. The next prime is 5999417. The reversal of 5999400 is 49995.

5999400 = 902 + 912 + ... + 2652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59350 + ... + 59450.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

Almost surely, 25999400 is an apocalyptic number.

5999400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

5999400 is an abundant number, since it is smaller than the sum of its proper divisors (16767000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5999400 is a wasteful number, since it uses less digits than its factorization.

5999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5999400 is about 2449.3672652340. The cubic root of 5999400 is about 181.7060020127.

5999400 divided by its reverse (49995) gives a triangular number (120 = T15).

It can be divided in two parts, 599 and 9400, that added together give a palindrome (9999).

The spelling of 5999400 in words is "five million, nine hundred ninety-nine thousand, four hundred".